Exercise 1.B.1

Question

Prove that $-(-v) = v$ for every $v \in V$.

Michael You · Accepted Answer

The additive inverse of $v$ is $-v$. The additive inverse of $-v$ is $-(-v)$.
We have
\begin{align*}
  v + -v & = 0 = -v + -(-v) \
  v      & = -(-v)
\end{align*}

Exercise 1.B.1

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Exercise 1.B.1

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